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A
Dolbeault–Hilbert complex for a variety with isolated
singular points
John Lott |
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Vol. 4 (2019), No. 4, 707–720
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Abstract |
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Given a compact Hermitian complex space with isolated singular points, we construct a Dolbeault-type Hilbert complex whose cohomology is isomorphic to the cohomology of the structure sheaf. We show that the corresponding K-homology class coincides with the one constructed by Baum, Fulton and MacPherson. |
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Keywords
Dolbeault, singular, variety, Riemann–Roch
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Mathematical Subject Classification 2010
Primary: 19K33, 19L10, 32W05, 58J10
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Milestones
Received: 23 April 2019
Revised: 20 June 2019
Accepted: 11 July 2019
Published: 10 January 2020
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Authors |
| John Lott | |
| Department of Mathematics University of California Berkeley, CA United States |
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